Đáp án+Giải thích các bước giải:

 `1)3/7+1/2-17/7+3/2`

`=(3/7-17/7)+(1/2+3/2)`

`=4/2-14/7`

`=2-2`

`=0`

`2)11/13+17/29+2/13+\frac{-17}{29}`

`=(11/13+2/13)+[17/29+(-17/29)]`

`=13/13+0`

`=1+0`

`=1`

`3)8/9+15/23+1/9+\frac{-15}{23}`

`=(8/9+1/9)+[15/23+(-15/23)]`

`=9/9+0`

`=1+0`

`1`

`4)\frac{-7}{10}+6/23+17/10+17/23`

`=(-7/10+17/10)+(6/23+17/23)`

`=10/10+23/23`

`=1+1`

`=2`

`5)\frac{-3}{11}+14/25+25/11+11/25`

`=(-3/11+25/11)+(14/25+11/25)`

`=22/11+25/25`

`=2+1`

`=3`

`6)7/3+\frac{-4}{7}-4/3+\frac{-10}{7}`

`=[(-4/7)+(-10/7)]+(7/3-4/3)`

`=(-14/7)+3/3`

`=(-2)+1`

`=-(2-1)`

`=-1`

`7)\frac{-5}{12}+4/37+17/12-41/37`

`=(-5/12+17/12)+(4/37-41/37)`

`=12/12+(-37/37)`

`=1+(-1)`

`=1-1`

`=0`

`8)11/24-5/41+13/24-36/41`

`=(11/24+13/24)-(5/41+36/41)`

`=24/24-41/41`

`=1-1`

`=0`

`9)4 3/16+1/5-3/16+4/5`

`=4+3/16-3/16+(1/5+4/5)`

`=4+(3/16-3/16)+5/5`

`=4+0+1`

`=5`